The Vector Ab And C Are Equal In Length And Taken Pairwise They Make Equal Angles If Aijbjk
1) i + 2j + k 2) -⅓ i + 4/3 j – ⅓ k 3) i – j +... View Article
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If A And B Are Two Nonzero Then A Vector Perpendicular To The Vector Bba Abb Is
1) a 2) b 3) a – b 4) a + b Answer: (2) b Solution: Given, (b.b)a – (a.b)b... View Article
If U And W Are Two Mutually Perpendicular Unit Vectors The Angle Between U And W Is
1) cos-1(a) 2) cos-1(b) \(\begin{array}{l}\begin{array}{l} 3) \cos ^{-1}\left(\frac{a}{\sqrt{a^{2}+b^{2}}}\right) \\ 4) \cos ^{-1}\left(\frac{b}{\sqrt{a^{2}+b^{2}}}\right) \end{array}\end{array} \) Answer: \(\begin{array}{l}\begin{array}{l} 4)\cos ^{-1}\left(\frac{b}{\sqrt{a^{2}+b^{2}}}\right) \end{array}\end{array} \)... View Article
The Adjacent Sides Of A Parallelogram Are A I2j And B 2i J The Angle Between The Diagonals Is
1) 30° and 150° 2) 45° and 135° 3) 60° and 120° 4) 90° and 90° Answer: (4) 90° and... View Article
For Nonzero Vectors A And B If A B A B Then A And B Are
1) collinear 2) perpendicular to each other 3) inclined at an acute angle 4) inclined at an obtuse angle Answer:... View Article
If The Points A B C And D Have Position Vectors A 2a B 4a 2b And 5a 4b
1) A,B and C 2) A,C and D 3) A,B and D 4) B,C and D Answer: (3) A,B and... View Article
The Vectors Vector Ab 3i 4k And Vector Ac 5i 2j 4k Are The Sides Of A Triangle Abc The Length Of Median
1) √(72) 2) √(33) 3) √(288) 4) √(18) Answer: (2) √33 Solution: A median of the triangle divides the opposite... View Article
Let G Be The Centroid Of A Triangle Abc If Ab A Ac B Then The Bisector Ag
1) ½ (a+b) 2) ⅓ (a+b) 3) ⅔ (a+b) 4) ⅙ (a+b) Answer: (2) ⅓ (a+b) Solution: Let G be... View Article
The Position Vectors Of Three Consecutive Vertices A B And C Of A Parallelogram Abcd Are R1 R2 And R3
p>1) r1 + r2 – r3 2) r2 + r3 – r1 3) r3 + r1 – r2 4) None... View Article
A Vector A Has Magnitude 5 Units And Points North East And Another Vector B Has Magnitude 5
1) 0 2) 5√2 3) 10 4) 25 Answer: (2) 5√2 Solution: |a| = 5 units |b| = 5 units... View Article
Let P And Q Be The Position Vectors Of P And Q Respectively If Or And Os Are Perpendicular Then
1) 9p2 = 4q2 2) 4p2 = 9p2 3) 9p = 4q 4) 4p = 9q Answer: (1) 9p2 =... View Article
Let Alpha Beta Gamma Be Three Distinct Real Numbers The Points With Position Vectors Are
1) are collinear 2) form an equilateral triangle 3) form a scalene triangle 4) form a right angled triangle Answer:... View Article
Given The Two Vectors I J And I 2j The Unit Vector Coplanar With The Two Vectors And Perpendicular
a) 1/√2 (i + j) b) 1/√5 (2i + j) c) +- 1/√2 (i + j) d) None of the... View Article
The Values Of X For Which The Angle Between A 2x2i 4xj K And B 7i 2j Xk Is Obtuse
1) 0<x<1/2 2) ½<x<15 3) x>½ or x<0 4) from a null set Answer: (1) 0<x<1/2 Solution: Angle between the... View Article
Let Oa A Ob 10a 2b And Oc B Where O A And C Are Noncollinear Points Let P Denote The Area Then K Is
1) 4 2) 6 3) 0 4) 1 Answer: (2) 6 Solution: As per the given question, p = Area... View Article
If A And B Are Unit Vectors Then The Vector A B A B Is Parallel To The Vector
1) a – b 2) a + b 3) 2a – b 4) 2a + b Answer:(1) a-b Solution: Given,... View Article
If A B C A B C Where A B And C Are Any Three Vectors Such That A B 0 C 0 Then A And C Are
1) inclined at an angle of π/6 between then 2) perpendicular 3) parallel 4) inclined at angle of π/3, between... View Article
If A 2i J K B I 2j K And A Unit Vector C Is Coplanar If C Is Perpendicular To A Then C Is Equal To
1) ±1/√2(-j+k) 2) ±1/√3(-i-j-k) 3) ±1/√5(i-2j) 4) ±1/√3(i-j-k) Answer: (1) ±1/√2(-j+k) Solution: Given, c is coplanar with a and b.... View Article
If A 2i3jk B I2j 5k C3i5jk Then A Vector Perpendicular To A And In The Plane Containing B And C Is
1) -17i + 21j – 97k 2) 17i + 21j – 123k 3) -17i -21j + 97k 4) -17i -21j... View Article
If Abc Are Unit Vectors Such That A B C 0 Find The Value Of Vector A B B C Ca
1) 1/2 2) 0 3) 1 4) -3/2 Answer: (4) -3/2 Solution: Given, a+ b+ c=0 Squaring both the sides,... View Article
